Cyclic Quadrilateral Worksheet
This worksheet focuses on understanding and applying properties of cyclic quadrilaterals for Grade 11 mathematics students.
Includes
Standards
Topics
Cyclic Quadrilateral Properties
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Date:
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Which of the following is NOT a property of a cyclic quadrilateral?
Opposite angles are supplementary.
The exterior angle is equal to the interior opposite angle.
All sides are equal in length.
All four vertices lie on a circle.
2. If ABCD is a cyclic quadrilateral and ∠A = 70°, then ∠C is:
70°
110°
90°
180°
1. A quadrilateral is called a cyclic quadrilateral if all its four vertices lie on a .
2. The sum of opposite angles in a cyclic quadrilateral is always degrees.
1. Consider a cyclic quadrilateral ABCD where ∠A = (2x + 10)° and ∠C = (3x - 20)°. Find the value of x and the measure of ∠A and ∠C.
Show your work:
2. In a cyclic quadrilateral PQRS, if ∠P = 85° and ∠Q = 78°, find the measures of ∠R and ∠S.
Show your work:
1. A square is always a cyclic quadrilateral.
True
False
2. An isosceles trapezoid can be a cyclic quadrilateral.
True
False
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